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Periodic solution of Hamiltonian systems with a subquadratic potential. (English) Zbl 0546.34034
The author covers the ”real” case where the Hamiltonian is quadratic in the momenta and subquadratic in the displacements. For T sufficiently large the existence of at least n solutions of period T is established for such Hamiltonian systems of 2n differential equations.
Reviewer: J.J.Gross

MSC:
34C25 Periodic solutions to ordinary differential equations
70H05 Hamilton’s equations
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